Approximation Theory, Spline Functions and Applications

Inbunden, Engelska, 1992

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Beskrivning

This volume containing the proceedings of the NATO Advanced Study Institute embodies survey articles and recent results from the theory of splines, spline-wavelets, multivariate wavelet decomposition, interpolation theory, polynomical approximation, near-minimax approximations, rational interpolants, and Pade approximants in one and several variables, radial basis approximation, optimixation theory, orthogonal polynomials, and more. The volume should therefore be of interest to researchers and graduate students in mathematics and engineering for whom the latest developments in approximation theory are of interest.

Produktinformation

Utgivningsdatum:1992-01-31
Mått:155 x 235 x 32 mm
Vikt:910 g
Format:Inbunden
Språk:Engelska
Serie:Nato Science Series C:
Antal sidor:479
Upplaga:1992
Förlag:Kluwer Academic Publishers
ISBN:9780792315742

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Innehållsförteckning

Approximation by Functions of Nonclassical Form.- Wavelets- with Emphasis on Spline-Wavelets and Applications to Signal Analysis.- Padé Approximation in one and more Variables.- Rational Hermite Interpolation in one and more variables.- The Method of Alternating Orthogonal Projections.- Selections for Metric Projections.- Weighted Polynomials.- Some Aspects of Radial Basis Function Approximation.- A Tutorial on Multivariate Wavelet Decomposition.- Using the Refinement Equation for the Construction of Pre-Wavelets VI: Shift Invariant Subspaces.- Error Estimates for Near-Minimax Approximations.- Different Metrics and Location Problems.- On the Effectiveness of Some Inversion Methods for Noisy Fourier Series.- A Generalization of N-Widths.- The Equivalence of the Usual and Quotient Topologies for C?(E) when E ? ?n is Whitney p— Regular.- Korovkin Theorems for Vector-Valued Continuous Functions.- On Modified Bojanic-Shisha Operators.- A property of zeros and Cotes numbers of Hermite and Laguerre orthogonal polynomials.- Hermite-Fejér and Hermite Interpolation.- New Results on Lagrange Interpolation.- Ambiguous Loci in Best Approximation Theory.- A Theorem on best approximations in topological vector spaces.- On the Characterization of Totally Positive Matrices.- Iterative Methods for the General Order Complementarity Problem.- Wavelets, Splines, and Divergence-Free Vector Functions.- An Approach to Meromorphic Approximation in a Stein Manifold.- Approximating Fixed Points for Nonexpansive Maps in Hilbert Spaces.- On Approximation and Interpolation of Convex Functions.- Convergence of Approximating Fixed Point Sets for Multivalued Nonexpansive Mappings.- A Subdivision Algorithm for Non-Uniform B-Splines.- Some Applications of an Approximation Theorem for FixedPoints of Multi-valued Contractions.- Geometrical Differentiation and High-Accuracy curve Interpolation.- On Best Simultaneous Approximation in Normed Linear Spaces.- Some Examples Concerning Projection Constants.